Question

A bike that is coasting down a steep hill increases its speed to 29.4 m/s. The length of the hill is 75 meters. If the descent took an overall time of 9.50 seconds, what was the initial velocity of the bike?

Answer 1

To find the initial velocity of the bike, we can use the equations of motion and substitute the given values. The initial velocity of the bike is 19.2 m/s.

Step-by-step explanation:

To find the initial velocity of the bike, we can use the equation of motion:

vf = vi + aavgt
Where vf is the final velocity (29.4 m/s), aavg is the average acceleration, and t is the time (9.50 s).
The length of the hill is 75 meters, so we can use the equation of motion:

vf2 = vi2 + 2aavgd

Where d is the distance traveled (75 m).

Substituting the values into the equations, we can solve for vi.

The initial velocity of the bike is 19.2 m/s.